Paul, Kevin, Justin, and David will share the cost of buying a fishing boat.

Response:

BD equals 19

Detailed breakdown:

Let the number be x. The equation x/5 - 17 = 48 leads to (x - 85)/5 = 48. Multiplying gives x - 85 = 240, so x = 240 + 85, resulting in x = 325.

Answer:

The highest achievable volume for the box is 2000000 cubic meters.

Step-by-step explanation:

Below is an outline of the volume (), measured in cubic centimeters, and surface area (), measured in square centimeters, for a box featuring a square base:

(1)

(2)

Where:

- The length of the base's side, in centimeters.

- The height of the box, in centimeters.

Using (2), we isolate in the formula:

Then, we substitute into (1) and simplify the outcome:

(3)

Next, we calculate the first and second derivatives of this expression:

(4)

(5)

If and , then we find that the critical value for the base's side length is:

Subsequently, we assess this outcome using the second derivative's expression:

According to Second Derivative Test, this critical value signifies an absolute maximum. Consequently, the largest volume obtainable for the box is:

The highest achievable volume for the box is 2000000 cubic meters.

This represents a difference of squares:

(16a^4 - b^4)

= (4a^2 + b^2)(4a^2 - b^2)

Furthermore, the second bracket can be simplified as it is also a difference of two squares:

(4a^2 + b^2)(4a^2 - b^2)

= (4a^2 + b^2)(2a - b)(2a + b)

Hello!

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Solution:

The ratio is expressed as 4 to 1.

Add these parts together.

4 + 1 equals 5.

Now divide.

150 divided by 5 results in 30.

Next, multiply to find Ivan's share.

30 multiplied by 4 gives us 120.

30 multiplied by 1 equals 30 for Tanya.

Verify.

120 plus 30 totals 150.

Then subtract.

120 minus 30 equals 90.

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Answer:

Ivan possesses £90 more than Tanya!

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I hope this has been helpful! Best of luck!